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30153824 = 2531113269
BaseRepresentation
bin111001100000…
…1110001100000
32002201222021022
41303001301200
530204410244
62554145012
7514206011
oct163016140
962658238
1030153824
1116026018
12a122168
136329ccc
14400d008
1529a96ee
hex1cc1c60

30153824 has 48 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 14407680.

The previous prime is 30153811. The next prime is 30153833. The reversal of 30153824 is 42835103.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 30153793 and 30153802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111962 + ... + 112230.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 230153824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30153824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

30153824 is an abundant number, since it is smaller than the sum of its proper divisors (31898656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30153824 is a wasteful number, since it uses less digits than its factorization.

30153824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 30153824 is about 5491.2497666742. The cubic root of 30153824 is about 311.2534198535.

Adding to 30153824 its reverse (42835103), we get a palindrome (72988927).

The spelling of 30153824 in words is "thirty million, one hundred fifty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 113 124 226 248 269 452 496 538 904 992 1076 1808 2152 3503 3616 4304 7006 8339 8608 14012 16678 28024 30397 33356 56048 60794 66712 112096 121588 133424 243176 266848 486352 942307 972704 1884614 3769228 7538456 15076912 30153824